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542521125 = 33532329241
BaseRepresentation
bin100000010101100…
…011011100100101
31101210211221002000
4200111203130211
52102341134000
6125500035513
716305232146
oct4025433445
91353757060
10542521125
1125926a173
12131832b99
1388522323
14520a3acd
1532967000
hex20563725

542521125 has 128 divisors (see below), whose sum is σ = 1087257600. Its totient is φ = 266112000.

The previous prime is 542521103. The next prime is 542521169. The reversal of 542521125 is 521125245.

542521125 is a `hidden beast` number, since 5 + 425 + 211 + 25 = 666.

It is not a de Polignac number, because 542521125 - 25 = 542521093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2251005 + ... + 2251245.

It is an arithmetic number, because the mean of its divisors is an integer number (8494200).

Almost surely, 2542521125 is an apocalyptic number.

It is an amenable number.

542521125 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

542521125 is a wasteful number, since it uses less digits than its factorization.

542521125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 301 counting only the distinct ones).

The product of its digits is 4000, while the sum is 27.

The square root of 542521125 is about 23292.0828823873. The cubic root of 542521125 is about 815.5906115770.

The spelling of 542521125 in words is "five hundred forty-two million, five hundred twenty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 23 25 27 29 45 69 75 87 115 125 135 145 207 225 241 261 345 375 435 575 621 667 675 723 725 783 1035 1125 1205 1305 1725 2001 2169 2175 2875 3105 3335 3375 3615 3625 3915 5175 5543 6003 6025 6507 6525 6989 8625 10005 10845 10875 15525 16629 16675 18009 18075 19575 20967 25875 27715 30015 30125 32535 32625 34945 49887 50025 54225 62901 77625 83145 83375 90045 90375 97875 104835 138575 149661 150075 160747 162675 174725 188703 249435 250125 271125 314505 415725 450225 482241 524175 692875 748305 750375 803735 813375 873625 943515 1247175 1446723 1572525 2078625 2251125 2411205 2620875 3741525 4018675 4340169 4717575 6235875 7233615 7862625 12056025 18707625 20093375 21700845 23587875 36168075 60280125 108504225 180840375 542521125